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MIYAKE Katsuya  三宅 克哉

ORCIDConnect your ORCID iD *help
… Alternative Names

三宅 克哉  ミヤケ カツヤ

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Researcher Number 20023632
Other IDs
External Links
Affiliation (based on the past Project Information) *help 2008: Waseda University, 総合研究機構, 教授
2007: Waseda University, 理工学術院, 教授
2007: 早稲田大学, 理工学部, 客員教授(非常勤扱い)
2005: Waseda University, Faculty of Science and Engineering, Professor, 理工学術院, 客員教授
2005: Tokyo Metropolitan Univ., Dep.Math., Emeritus Professor, 理学部, 名誉教授 … More
2002 – 2005: 東京都立大学, 大学院・理学研究科, 教授
1997 – 2004: 東京都立大学, 理学研究科, 教授
2001: TMU, Faculty of Science, Professor, 理学(系)研究科(研究院), 教授
2000: Tokyo Metropolitan Univ., Department of Mathematics, Prof., 大学院・理学研究科, 教授
1999 – 2000: 東京都立大学, 大学院・理学研究科, 教授
1995 – 1996: 東京都立大学, 理学部, 教授
1994: 東京都立大学, 理学部・数学科, 教授
1992: 名古屋大学, 教養部, 教授
1988 – 1990: 名古屋大学, 教養部, 教授
1986: Nagoya Univ., College of General Education, Prof., 教養部, 教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / 代数学・幾何学 / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
3次体 / generic polynomial / HYPERGEOMETRIC POLYNOMIALS / 算術的三角群 / 超幾何多項式 / ダイヘドラル拡大 / 2次体 / Miranda-Persson's Problem / Elliptic Surface / Mordell-Weil Rank … More / Mordell-Weil Group / Cubic Generic Polynomial / Elliptic Curve / Mordell Curve / Cubic Field / Fermat3次曲線 / 3次twist / Hilbert's Th.90 / 生成多項式 / 3次巡回体 / Miranda-Perssonの問題 / 楕円曲面 / Mordell-Weil rank / Mordell-Weil群 / 3次生成的多項式 / 楕円曲線 / Mordell曲線 / GREENBERG CONJECTURE / ARITHMETIC TRIANGULAR GROUPS / SPACE OF MODULI / NOETHER PROBLEM / GENERIC FAMILY OF POLYNOMIALS / DIHEDRAL EXTENSIONS / INVERSE PROBLEM OF GALOIS / グロタンディーク・タイヒミュラー群 / 組紐群 / 近藤予想 / 類数問題 / Scholz予想 / モンスター単純群 / 素数グラフ / Dutta重複度 / l進多重対数函数 / 二面体群 / ハセの問題 / 三面体拡大 / Greenberg予想 / モジュライ空間 / ネター問題 / 生成的多項式族 / 二面体拡大 / ガロアの逆問題 / TATE CONJECTURE / UNITS / DIHEADRAL EXTHENSIONS / CUBIC FIELDS / QUADRATIC FIELDS / CLASS NUMBERS / CLASS FIELD THEORY / 奇数次巡回拡大 / 一次分数変換 / ゼータ関数 / Batyrev-Manin予想 / 算術的有限部分群 / 一般Lucas数列 / Tate予想 / 単数 / 類数 / 類体論 / 3次の数論 / 5次可解生成多項式 / 4次生成多項式 / Hessian曲線の捻り / 5次可解生成的多項式 / 4次生成的多項式 / 一般チルンハウス変換 / Hessian 曲線の捻り / Cubic Thue equations / 2次体の類数問題 / 部分体問題 / 生成的多項式 … More
Except Principal Investigator
TNT / Mordell曲線 / 楕円曲線 / 代数幾何符号 / タイヒミュラー基本亜群 / Iwasawa theory / 岩澤主予想 / 岩澤理論 / 基本単数 / 類数 / メイリングリスト / ネットワーク / データ / ソフト / アルゴリズム / コンピュータ / 整数論 / Hasse's Problem / エルミート符号 / Mordell Curve / Hasseの問題 / 3次体 / 巾底 / ideal class group / イデアル類群 / ガロア群 / 代数曲線 / ガロアの逆問題 / ガロア理論 / Nash多様体 / 有理関数 / 多項式 / 実代数的集合 / 実2次体 / Conditional Expectations / Operator Rings / Quantum Mechanics / Singular Perturbation / Dynamical Systems / 出生死亡過程 / 単峰な確率分布 / 観測過程 / 作用素環論 / 量子力学 / 電気回路 / 特異摂動論 / 力学系 / Hermitian code / Galois representation / Verlinde's formula / Elliptic curve / Class number / Integral power basis / The ring of an abelian extension / Buchsbaum Stanley-Reisner ring / チャウ多様体 / 連立ベル方程式 / RSA署名 / ポリアーベル拡大の整数環 / Galois表現 / フェアリンデの公式 / アーベル拡大の整数環 / Gaussian Periods / Meta abelian Group / Cyclic Polynomial / Noether's Problem / Generic Polynomial / Inverse Galois Problems / Galois Group / Galois Theory / Generic Polynomials / Stable derivarion algebra / Abelian surface / Modular forms / Z_p extension / Inverse Galois problem / Generic polynomials / Galois theory / ガウス周期 / メタアーベル群 / 巡回多項式 / ネーターの問題 / 生成的多項式 / ガロア逆問題 / Algebraic Geometry Code / Elliptic Curve / Neron-Tate Height / Teichmueller grounoid / Fundamental Unit / Power Intetral basis / p進表現 / 基本単数系と類数 / タイヒミューラー基本亜群 / Mordell Curves / Yokoi-Chowla予想 / 類群及び単数群の構造 / 整数環の巾底 / ネロン・テイト高さ / 整数還の巾底 / Fitting ideal / Iwasawa module / Iwasawa main conjecture / Stickelbergerイデアル / Fittingイデアル / 岩澤加群 / Mordell curves / rational double points / super singular K3 surfaces / Zariski κ-plet / cubic fields / fundahnental group / versal cover / Galois cover / Groebner基底 / Alexander多項式 / Zariski pair / 超特異κ3曲面 / Zariski Κ-plet / 有理2重点 / 超特異K3曲面 / Zariski k-plet / 基本群 / versal被覆 / Galois被覆 / supersingular reduction / Tate-Shafarevich group / elliptic curve / スーパーシンギュラーリダクション / ティトーシャファレビッチ群 / 岩澤不変量 / テイトーシャファレビッチ群 / スーパーシンギュラー還元 / テイトシャファレビッチ群 / minimum distance / algebraic-geometric code / explicit reciprocity law / Teichmuller groupoid / unramified cyclic extension / power basis / class number / fundamental unit / タイムヒーラー基本亜群 / 相互法則 / チャウ形式 / タイヒムーラー基本亜群 / 最小距離 / 一般相互法則 / 不分岐巡回拡大 / mailing list / network / database / software / algorithm / computer / number theory / maximal abelian extension / Greenberg conjecture / セルマ-群 / 最大アーベル拡大 / グリーンバーグ予想 / アルティンの予想 / ガウスの予想 / Pー不変量 / 代数的数体 / 【C^ω】Nash多様体 / ノンスタンダードモデル / ブール値解析学 / 有限の型の対象 / β-モデル / 【Δ(^1-2)】 / 帰納的関数論 / 不変式 / ヤコビ多様体 / 生成多項式 / 有理関数体 / クレモナ変換群 / ネーター問題 / Steenrud squaring operator / Wu's formula / Hasse principle / Brauer group / 超準モデル / 超準解析 / 不定方程式 / モデル理論 / 無限次行列 / ゼ-タ関数 / 保型形式 / 数論的関数 / 最大羃零拡大 / Lie接触構造 / 極小曲面 / シュレジンガ-作用系 / 構成可能性公理 / 極小次数 / 決定性公理 / 連続体仮説 / Kleene次数 Less
  • Research Projects

    (26 results)
  • Research Products

    (43 results)
  • Co-Researchers

    (65 People)
  •  Noether's Problem for Cremona Groups over algebraic number fields and its application to Number theory

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Development of Number Theory based on Generic PolynomialsPrincipal Investigator

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Number Theory and Its Applications to Discrete Mathematics

    • Principal Investigator
      NAKAHARA Toru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Construction of Generic Polynomials in Galois Theory and application to Number Theory

    • Principal Investigator
      HASHIMOTO Kiichiro
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Waseda University
  •  Geometry of branched Galois covers and number theory

    • Principal Investigator
      TOKUNAGA Hiroo
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Refinement of Iwasawa theory and its applications

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Number Theory and Applications to the Related Discrete Mathematics

    • Principal Investigator
      NAKAHARA Toru
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Arithmetic of Cubic Fields and Elliptic Curves associated to themPrincipal Investigator

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  THE INVERSE PROBLEM OF GALOIS AND ITS APPLICATION TO NUMBER THEORYPrincipal Investigator

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  Number Theory and Its Apprication to Discrete Mathematics

    • Principal Investigator
      NAKAHARA Toru
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Saga University
  •  Grant-in-Aid for Scientific Research(C)(2)

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Data Computation and Software Development in Number Theory by Computers

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  P-adic L-functions of modular forms and the Euler systems

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  整数論のアルゴリズム,データベース,コンピュータ実験

    • Principal Investigator
      中村 憲
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  COMPOSITE STUDY IN CLASS FIELD THEORY AND RELATED TOPICSPrincipal Investigator

    • Principal Investigator
      MIYAKE Katsuya
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METROPOLITAN UNIVERSITY
  •  ブラウワ-群と関連した代数多様体の算術理論

    • Principal Investigator
      卜部 東介
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  整数論のアルゴリズム、データベース、コンピュータ実験

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  モデル理論とその不定方程式論への応用

    • Principal Investigator
      安本 雅洋
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  幾何構造,数理物理とトポロジ-

    • Principal Investigator
      佐藤 肇
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  実代数幾何及び実解析位相幾何の研究

    • Principal Investigator
      SHIOTA Masahiro
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  数論的関数の解析表示

    • Principal Investigator
      久保田 富雄
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  高階の帰納的関数の研究

    • Principal Investigator
      篠田 寿一
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  代数的数体の構造不変量の総合的研究

    • Principal Investigator
      横井 英夫
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  実代数幾何及び実解析位相幾何の研究

    • Principal Investigator
      塩田 昌弘
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University
  •  高階の帰納的関数の研究

    • Principal Investigator
      篠田 寿一
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nagoya University
  •  Theory of Dynamical Systems

    • Principal Investigator
      SHIRAIWA Kenichi
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Nagoya University

All 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] Galois Theory and Modular Forms.2004

    • Author(s)
      [HMN]K.Hashimoto, K.Miyake, H.Nakamura
    • Total Pages
      393
    • Publisher
      Kluwer Acad.Publ., Dordrecht/Boston/London
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540029
  • [Book] Galois Theory and Modular Forms (co-edit. with Ki-ichiro Hashimoto and Hiroaki Nakamura)2004

    • Author(s)
      Katsuya Miyake
    • Total Pages
      393
    • Publisher
      Kluwer Acad.Publ.
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Book] Galois Theory and Modular Forms2004

    • Author(s)
      [HMN] K.Hashimoto, K.Miyake, H.Nakamura
    • Total Pages
      393
    • Publisher
      Kluwer Acad. Publ., Dordrecht/Boston/London
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] On the field intersection problem of generic polynomials : a survey2009

    • Author(s)
      Akinari Hoshi, Katsuya Miyake
    • Journal Title

      RIMS Kokyuroku Bessatsu 掲載決定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations2009

    • Author(s)
      Akinari Hoshi, Katsuya Miyake
    • Journal Title

      Special issue of Interdisciplinary of Information Sciences (IIS) 掲載決定

    • NAID

      110009794873

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2009

    • Author(s)
      Akinari Hoshi, Katsuya Miyake
    • Journal Title

      The Proceedings of The International Conference of Number Thery held at Harish-Chabdra Reserch Institute 出版確定

      Pages: 65-104

    • NAID

      120002221372

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Twists of Hessian Elliptic Curves and Cubic Fields2009

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Annales Mathematiques Blaise Pascal 16

      Pages: 121-139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Founder of the Japanese School of Modern Mathematics, Japan. Jour. of Math.2007

    • Author(s)
      Katsuya Miyake, Teiji Takagi
    • Journal Title

      3rd Series 2

      Pages: 151-164

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Two Expositions on Arithmetic of Cubics, The Proceedings of the Fourth China-Japan Seminar ed. By S2007

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Kanemitsu and J.-Y. Liu, World Scientific

      Pages: 136-154

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Tschirnhausen Transformation of a Cubic Generic Polynomial and a 2-dimensional Involutive Cremona Transformation2007

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Journal Title

      Proc.Japan Acad. 83,Ser.A

      Pages: 21-26

    • NAID

      40015348843

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Teiji Takagi,Founder of the Japanese School of Modern Mathematics2007

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Japan.Jour.Of Math., 3rd Series Vol.2

      Pages: 151-164

    • NAID

      10018920165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Teiji Takagi, Founder of the Japanese School of Modern Mathematics2007

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Japan.Jour.Of Math., 3rd Series Vol.2

      Pages: 151-164

    • NAID

      10018920165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Tschirnhausen Transformation of a Cubic Generic Polynomial and a 2-dimensional Involutive Cremona Transformation2007

    • Author(s)
      Katsuya Miyake, Akinari Hoshi
    • Journal Title

      Proc.Japan Acad. 83,Ser A

      Pages: 21-26

    • NAID

      40015348843

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340011
  • [Journal Article] Tschirnhausen Transformation of a Cubic Generic Polynomial and a 2-dimensional Involutive Cremona Transformation, Proc2007

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Journal Title

      Japan Acad. 83, Ser. A

      Pages: 21-26

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] ubic Fields and Mordell Curves, in Number Theory2006

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Tradition and Modernization(ed.By W.Zhang, Y.Tanigawa) 1

      Pages: 175-183

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Journal Article] Cubic Fields and Mordell Curves2006

    • Author(s)
      K.Miyake
    • Journal Title

      Number Theory : Tradition and Modernization (IN PRESS)

    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] An Introduction to Elliptic Curves and their Diophantine Geometry -- Mordell Curves --2005

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Annales des Sciences Mathematiques du Quebec To appear

      Pages: 173-185

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] [M] An Introduction to Elliptic Curves and their Diophantine Geometry -- Mordell Curves --2005

    • Author(s)
      K.Miyake
    • Journal Title

      Annales des Sciences Math'ematique du Qu'ebec (to appear)

      Pages: 173-185

    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] An Introduction to Elliptic Curves and their Diophantine Geometry - Mordell Curves -2005

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Annales des Sciences Mathematiques du Quebec (To appear)

      Pages: 173-185

    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] An Introduction to Elliptic Curves and their Diophantine Geometry --- Mordell Curves ---2004

    • Author(s)
      [M2] K.Miyake
    • Journal Title

      Maroc-Qu' ebec (Mai 2003) "Th' eorie des nombres et applications" Annales des Sciences Math' ematiques du Qu' ebec

      Pages: 173-185

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] An Introduction to Elliptic Curves and their Diophantine Geometry --- Mordell Curves ---2004

    • Author(s)
      [M2]K.Miyake
    • Journal Title

      Maroc-Qu'ebec (Mai 2003) "Th'eorie des nombres et applications" Annales des Sciences Math'ematiques du Qq'ebec

      Pages: 173-185

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] Some Families of Mordell Curves associated to Cubic Fields.2003

    • Author(s)
      Miyake, Katsuya
    • Journal Title

      Jour. of Computational and Applied Math. 160

      Pages: 217-231

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Some Families of Mordell Curves associated to Cubic Fields2003

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Jour. of Computational and Applied Math. 160

      Pages: 217-231

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] Some aspects of interactions between algebraic and analytic theory2002

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Developments in Mathematics 8

      Pages: 263-299

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340016
  • [Journal Article] Some aspects of interactions between algebraic and analytic number theory2002

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Developments in Mathematics 8

      Pages: 263-299

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340016
  • [Journal Article] Cubic Fields and Mordell Curves

    • Author(s)
      [M]K.Miyake
    • Journal Title

      Number Theory : Tradition and Modernization (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] Two Expositions on Arithmetic of Cubics

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Proc.of The Fourth China-Japan Conf.on Number Theory, Shandong Univ.Acad.Center (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Twists of Hessian Elliptic Curves and Cubic Fields

    • Author(s)
      Katsuya Miyake
    • Journal Title

      Proc.of Congres Intern., Algebre, Theorie des nombres et leurs Appl. (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] A note on the field isomorphism problem of X^3+sX+s and related cubic Thue equations

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Journal Title

      Special issue of Interdisciplinary of Information Sciences (IIS) to appear ; arXiv : 0901.4831v1 [math. NT]

    • NAID

      110009794873

    • URL

      http://arxiv.org/abs/0901.4831

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] On the field intersection problem of generic polynomials : a survey

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Journal Title

      RIMS Kokyuroku Bessatsu to appear ; arXiv : 0804. 4875v1 [math. NT]

    • URL

      http://arxiv.org/abs/0810.0382v1

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] An Introduction to Elliptic Curves and their Diophantine Geometry-Mordell Curves-

    • Author(s)
      Miyake, Katsuya
    • Journal Title

      Annales des Sciences Mathematiques du Quebec (To appear)

      Pages: 14-14

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540037
  • [Journal Article] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Journal Title

      The Proceedings of The International Conference of Number Thery held at Harish-Chabdra Reserch Institute to appear, arXiv : 0710. 0287v2 [math. NT]

    • NAID

      120002221372

    • URL

      http://arxiv.org/abs/0710.0287v2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Journal Article] Cubic Fields and Mordell Curves

    • Author(s)
      [M] K.Miyake
    • Journal Title

      Number Theory : Tradition and Modernization (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540029
  • [Journal Article] An Introduction to Elliptic Curves and their Diophantine Geometry--Mordell Curves

    • Author(s)
      MIYAKE, Katsuya
    • Journal Title

      Annales des sciences Mathematiques du Quebec a special issue(to appear)

    • Data Source
      KAKENHI-PROJECT-15340015
  • [Presentation] Some Diophantine problems arising from the isomorphism problem of generic polynomials2008

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Organizer
      第5回日中数論セミナー
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-08-27
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation2008

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Organizer
      日韓整数論セミナー2008
    • Place of Presentation
      東北大学
    • Year and Date
      2008-11-12
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] On the field isomorphism problem of generic polynomials via formal Tschirnhausen transformation2008

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Organizer
      ガロア理論とその周辺徳島2008
    • Place of Presentation
      徳島大学
    • Year and Date
      2008-09-09
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] On the field isomorphism problem of generic polynomials via formal Tsohirnhausen transformation2008

    • Author(s)
      Akinari Hoshi, Katsuya Miyake
    • Organizer
      ガロア理論とその周辺徳島2008
    • Place of Presentation
      徳島大学
    • Year and Date
      2008-09-09
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] 生成的チルンハウス変換とその応用2008

    • Author(s)
      Katsuya Miyake
    • Organizer
      九州大学小研究集会
    • Place of Presentation
      九州大学箱崎・理学部
    • Year and Date
      2008-02-23
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] 生成的多項式の同型問題に対する考察2008

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Organizer
      日本数学会2008年度秋期総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2007

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Organizer
      ガロア理論とその周辺
    • Place of Presentation
      山形大学理学部
    • Year and Date
      2007-11-04
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] A geometric framework for the subfield problem of generic polynomials via Tschirnhausen transformation2007

    • Author(s)
      Akinari Hoshi and Katsuya Miyake
    • Organizer
      代数的整数論とその周辺
    • Place of Presentation
      京大数理解析研究所
    • Year and Date
      2007-12-14
    • Data Source
      KAKENHI-PROJECT-19540057
  • [Presentation] 生成的多項式の同型問題への考察2007

    • Author(s)
      Katsuya Miyake, Akinari Hoshi
    • Organizer
      研究集会「代数学と計算」
    • Place of Presentation
      首都大学東京
    • Year and Date
      2007-12-06
    • Data Source
      KAKENHI-PROJECT-19340011
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    # of Collaborated Projects: 9 results
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  • 2.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 7 results
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  • 3.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 6 results
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  • 4.  篠田 寿一 (30022685)
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  • 5.  横井 英夫 (50023560)
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  • 6.  NAKAMURA Hiroaki (60217883)
    # of Collaborated Projects: 5 results
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  • 7.  TAGUCHI Youichiro (90231399)
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  • 8.  SHIOTA Masahiro (00027385)
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  • 11.  OZAWA Masanao (40126313)
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  • 12.  HASHIMOTO Kiichiro (90143370)
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  • 13.  ト部 東介 (70145655)
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  • 14.  TSUNOGAI Hiroshi (20267412)
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  • 15.  NAKAHARA Toru (50039278)
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  • 18.  KATAYAMA Shin-ichi (70194777)
    # of Collaborated Projects: 3 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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  • 26.  MORITA Yasuo (20011653)
    # of Collaborated Projects: 2 results
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  • 27.  KOIKE Masao (20022733)
    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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  • 29.  KURATA Toshihiko (40311899)
    # of Collaborated Projects: 2 results
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  • 30.  MIYAZAKI Takuya (10301409)
    # of Collaborated Projects: 2 results
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  • 31.  KAWASAKI Takeshi (40301410)
    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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    # of Collaborated Projects: 2 results
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  • 35.  KISHI Yasuhiro (60380375)
    # of Collaborated Projects: 1 results
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  • 36.  RIKUNA Yuuichi (10434309)
    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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  • 39.  YAMAMOTO Yoshiyuki (90028184)
    # of Collaborated Projects: 1 results
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  • 40.  YAMAKI Hiroyoshi (60028199)
    # of Collaborated Projects: 1 results
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  • 41.  TAKEDA Yuichiro (30264584)
    # of Collaborated Projects: 1 results
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  • 42.  SHIMADA Ichiro (10235616)
    # of Collaborated Projects: 1 results
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    # of Collaborated Projects: 1 results
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